Finite Group Databasebeta

← #35174831

Subgroups — #35174831

Order 20224.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777681C211yesmaximal, characteristic, complemented
2#23777062C211yesmaximal, characteristic, complemented
3#23775734C211yesmaximal, characteristic, complemented
4#23775669C211yesmaximal, characteristic, complemented
5#23775624C211yesmaximal, characteristic, complemented
6#23775605C211yesmaximal, characteristic, complemented
7#23775477C211yesmaximal, characteristic, complemented
8#23775470C211yesmaximal, characteristic, complemented
9#23775417C211yesmaximal, characteristic, complemented
10#23775410C211yesmaximal, characteristic, complemented
11#23775059C211yesmaximal, characteristic, complemented
12#23775050C211yesmaximal, characteristic, complemented
13#23775031C211yesmaximal, characteristic, complemented
14#23774994C211yesmaximal, characteristic, complemented
15#23774985C211yesmaximal, characteristic, complemented
16#23774955C211yesmaximal, characteristic, complemented
17#23774914C211yesmaximal, characteristic, complemented
18#23774899C211yesmaximal, characteristic, complemented
19#23774490C211yesmaximal, characteristic, complemented
20#23774468C211yesmaximal, characteristic, complemented
21#23774297C211yesmaximal, characteristic, complemented
22#23774284C211yesmaximal, characteristic, complemented
23#23774211C211yesmaximal, characteristic, complemented
24#23774203C211yesmaximal, characteristic, complemented
25#23773655C211yesmaximal, characteristic, complemented
26#23773607C211yesmaximal, characteristic, complemented
27#23772677C211yesmaximal, characteristic, complemented
28#23772657C211yesmaximal, characteristic, complemented
29#23772638C211yesmaximal, characteristic, complemented
30#23772458C211yesmaximal, characteristic, complemented
31C79×#3012C211yesmaximal, characteristic, complemented
32C2×#41×D79C2211yescharacteristic
33C2×#14579193C2211yescharacteristic, complemented
34C2×#14579191C2211yescharacteristic, complemented
35C2×#14579190C2211yescharacteristic, complemented
36C2×#14579190C2211yescharacteristic, complemented
37C2×#14579185C2211yescharacteristic, complemented
38C22×#11929612C2211yescharacteristic, complemented
39#19099314—21no—
40#19099308—21no—
41#19099284C2211yescharacteristic, complemented
42#19099268C2211yescharacteristic, complemented
43#19099267—21no—
44#19099260—21no—
45#19099260C2211yescharacteristic, complemented
46#19099248C2211yescharacteristic, complemented
47#19099232C2211yescharacteristic
48#19099232C2211yescharacteristic
49#19099226C2211yescharacteristic, complemented
50#19099220C2211yescharacteristic
51#19099220C2211yescharacteristic
52#19099220C2211yescharacteristic, complemented
53#19099219C2211yescharacteristic, complemented
54#19099212C2211yescharacteristic, complemented
55#19099207—21no—
56#19099207—21no—
57#19099207C2211yescharacteristic
58#19099207C2211yescharacteristic
59D4×C22⋊D79—21no—
60D4×C22⋊D79—21no—
61D4×C22⋊D79C2211yescharacteristic
62D4×C22⋊D79C2211yescharacteristic
63#19099180—21no—
64#19099180C2211yescharacteristic, complemented
65#19099173C2211yescharacteristic, complemented
66#19099158—21no—
67#19099145—21no—
68#19099145—21no—
69#19099141—21no—
70#19099141C2211yescharacteristic
71#19099134C2211yescharacteristic, complemented
72#19099130—21no—
73#19099130C2211yescharacteristic
74#19099073C2211yescharacteristic, complemented
75#19099070—21no—
76#19099070C2211yescharacteristic
77C22⋊Q8×D79C2211yescharacteristic, complemented
78C2×#14579132—21no—
79C2×#14579132C2211yescharacteristic
80#19099046C2211yescharacteristic
81#19098954C2211yescharacteristic, complemented
82#19098951C2211yescharacteristic, complemented
83#19098946C2211yescharacteristic, complemented
84#19098934C2211yescharacteristic, complemented
85#19098926C2211yescharacteristic, complemented
86#19098921C2211yescharacteristic, complemented
87#19098916C2211yescharacteristic, complemented
88#19098908C2211yescharacteristic, complemented
89#19098905C2211yescharacteristic, complemented
90#19098899C2211yescharacteristic, complemented
91#19098898C2211yescharacteristic, complemented
92#19098896C2211yescharacteristic, complemented
93#19098894C2211yescharacteristic, complemented
94#19098888C2211yescharacteristic, complemented
95#19098886C2211yescharacteristic, complemented
96#19098886C2211yescharacteristic, complemented
97#19098876C2211yescharacteristic, complemented
98#19098875C2211yescharacteristic, complemented
99#19098875C2211yescharacteristic, complemented
100#19098874C2211yescharacteristic, complemented
101#19098868C2211yescharacteristic, complemented
102#19098865C2211yescharacteristic, complemented
103#19098856C2211yescharacteristic, complemented
104#19098841C2211yescharacteristic, complemented
105#19098821C2211yescharacteristic, complemented
106#19098813C2211yescharacteristic, complemented
107#19098813C2211yescharacteristic, complemented
108#19098811C2211yescharacteristic, complemented
109#19098809C2211yescharacteristic, complemented
110#19098808C2211yescharacteristic, complemented
111#19098808C2211yescharacteristic, complemented
112#19098808C2211yescharacteristic, complemented
113#19098808C2211yescharacteristic, complemented
114#19098807C2211yescharacteristic, complemented
115#19098806C2211yescharacteristic, complemented
116#19098806C2211yescharacteristic, complemented
117#19098804C2211yescharacteristic, complemented
118#19098802C2211yescharacteristic, complemented
119#19098797C2211yescharacteristic, complemented
120#19098792C2211yescharacteristic, complemented
121#19098784C2211yescharacteristic, complemented
122#19098784C2211yescharacteristic, complemented
123#19098783C2211yescharacteristic, complemented
124#19098783C2211yescharacteristic, complemented
125#19098776C2211yescharacteristic, complemented
126#19098776C2211yescharacteristic, complemented
127#19098771C2211yescharacteristic, complemented
128#19098766C2211yescharacteristic, complemented
129#19098762C2211yescharacteristic, complemented
130#19098762C2211yescharacteristic, complemented
131#19098761C2211yescharacteristic, complemented
132#19098756C2211yescharacteristic, complemented
133#19098728C2211yescharacteristic, complemented
134#19098727C2211yescharacteristic, complemented
135#19098727C2211yescharacteristic, complemented
136#19098726C2211yescharacteristic, complemented
137#19098725C2211yescharacteristic
138#19098725C2211yescharacteristic
139#19098725C2211yescharacteristic, complemented
140#19098725C2211yescharacteristic, complemented
141#19098725C2211yescharacteristic, complemented
142#19098723C2211yescharacteristic, complemented
143#19098721C2211yescharacteristic, complemented
144#19098720C2211yescharacteristic, complemented
145#19098717C2211yescharacteristic, complemented
146#19098715C2211yescharacteristic, complemented
147#19098714C2211yescharacteristic, complemented
148#19098714C2211yescharacteristic, complemented
149#19098714C2211yescharacteristic, complemented
150#19098714C2211yescharacteristic, complemented
151#19098712C2211yescharacteristic, complemented
152#19098708C2211yescharacteristic, complemented
153#19098707C2211yescharacteristic, complemented
154#19098706C2211yescharacteristic, complemented
155#19098705C2211yescharacteristic, complemented
156#19098705C2211yescharacteristic, complemented
157#19098705C2211yescharacteristic, complemented
158#19098704C2211yescharacteristic, complemented
159#19098700C2211yescharacteristic, complemented
160#19098700C2211yescharacteristic, complemented
161#19098670C2211yescharacteristic, complemented
162#19098664C2211yescharacteristic, complemented
163#19098660C2211yescharacteristic, complemented
164#19098660C2211yescharacteristic, complemented
165#19098655C2211yescharacteristic, complemented
166#19098655C2211yescharacteristic, complemented
167SD16×Dic79C2211yescharacteristic, complemented
168D8×Dic79C2211yescharacteristic, complemented
169#19098639C2211yescharacteristic, complemented
170#19098639C2211yescharacteristic, complemented
171#19098638C2211yescharacteristic, complemented
172#19098638C2211yescharacteristic, complemented
173#19098634C2211yescharacteristic, complemented
174#19098634C2211yescharacteristic, complemented
175#19098631C2211yescharacteristic, complemented
176#19098631C2211yescharacteristic, complemented
177#19098621C2211yescharacteristic, complemented
178#19098621C2211yescharacteristic, complemented
179#19098570C2211yescharacteristic, complemented
180#19098568C2211yescharacteristic, complemented
181#19098566C2211yescharacteristic, complemented
182#19098563C2211yescharacteristic, complemented
183#19098561C2211yescharacteristic, complemented
184#19098559C2211yescharacteristic, complemented
185#19098530C2211yescharacteristic, complemented
186#19098525C2211yescharacteristic, complemented
187#19098525C2211yescharacteristic, complemented
188C2×H(5,𝔽2)×C79C2211yescharacteristic
189C2×AGL(1,ℤ/8)×C79C2211yescharacteristic, complemented
190C2×#135×C79C2211yescharacteristic, complemented
191#537×C79C2211yescharacteristic, complemented
192#452×C79C2211yescharacteristic
193#452×C79C2211yescharacteristic, complemented
194#450×C79C2211yescharacteristic, complemented
195#450×C79C2211yescharacteristic, complemented
196#449×C79C2211yescharacteristic
197#449×C79C2211yescharacteristic, complemented
198#447×C79C2211yescharacteristic, complemented
199#447×C79C2211yescharacteristic, complemented
200#417×C79C2211yescharacteristic, complemented
201C2×#102×C79C2211yescharacteristic, complemented
202#408×C79C2211yescharacteristic, complemented
203C2×#11929625C2311yescharacteristic
204C2×#11929624—21no—
205C2×#11929624C2311yescharacteristic
206C2×#11929623—21no—
207C2×#11929623C2311yescharacteristic
208C2×#11929623C2311yescharacteristic
209#41×D79—42no—
210#41×D79—42no—
211C22×Dic158C2311yescharacteristic
212C2×Q8×D79C2311yescharacteristic
213C2×Q8×D79C2311yescharacteristic
214C22×C22⋊D79—21no—
215C22×C22⋊D79—21no—
216C22×C22⋊D79—21no—
217C2×D4×D79—21no—
218C2×D4×D79C2311yescharacteristic
219C22×C4×D79—21no—
220C22×C4×D79C2311yescharacteristic
221#14579193—42no—
222#14579191—42no—
223#14579190—42no—
224#14579190—42no—
225#14579185—42no—
226C2×Dic316C2311yescharacteristic
227C2×Dic316C2311yescharacteristic
228C2×#11929614C2311yescharacteristic
229C2×#11929614C2311yescharacteristic
230C2×#11929614C2311yescharacteristic
231C2×#11929613C2311yescharacteristic
232C2×#11929613C2311yescharacteristic
233C2×#11929612—42no—
234C2×#11929612C2311yescharacteristic
235C2×#11929612C2311yescharacteristic
236C2×#11929612C2311yescharacteristic
237C2×#11929612C2311yescharacteristic
238C2×#11929612C2311yescharacteristic
239C2×#11929612C2311yescharacteristic
240C2×#11929612C2311yescharacteristic
241C2×#11929611C2311yescharacteristic
242C2×#11929609C2311yescharacteristic
243C2×#11929608C2311yescharacteristic
244C2×#11929607C2311yescharacteristic
245C2×#11929607C2311yescharacteristic
246C2×#11929607C2311yescharacteristic
247C2×#11929607C2311yescharacteristic
248C22×C79⋊C8C2311yescharacteristic
249#14579160—21no—
250#14579160C2311yescharacteristic
251#14579159—21no—
252#14579159C2311yescharacteristic
253#14579157—21no—
254#14579157—21no—
255#14579157C2311yescharacteristic
256#14579157C2311yescharacteristic
257#14579156—21no—
258#14579156—21no—
259#14579154—21no—
260#14579154—21no—
261#14579154—21no—
262#14579154—21no—
263#14579154—21no—
264#14579152—21no—
265#14579152C2311yescharacteristic
266#14579151—21no—
267#14579151—21no—
268#14579151—21no—
269#14579148—21no—
270#14579148—21no—
271#14579148—21no—
272#14579148—21no—
273#14579148—21no—
274#14579148C2311yescharacteristic
275#14579148C2311yescharacteristic
276#14579148C2311yescharacteristic
277#14579147—21no—
278#14579147—21no—
279#14579144—21no—
280#14579144—21no—
281#14579143—21no—
282#14579142—21no—
283#14579142—21no—
284#14579142—21no—
285#14579142—21no—
286#14579142—21no—
287#14579142—21no—
288#14579142—21no—
289#14579142D411yescharacteristic
290#14579142D411yescharacteristic
291#14579141C2311yescharacteristic
292#14579141C2311yescharacteristic
293#14579140—21no—
294#14579140—21no—
295#14579140—21no—
296#14579140—21no—
297#14579140C2311yescharacteristic
298#14579140C2311yescharacteristic
299#14579140C2311yescharacteristic
300#14579140C2311yescharacteristic
301#14579140C2311yescharacteristic
302#14579140C2311yescharacteristic
303#14579139—21no—
304#14579139—21no—
305#14579139—21no—
306#14579138—21no—
307#14579138—21no—
308#14579138—21no—
309#14579138—21no—
310#14579137—21no—
311#14579137D411yescharacteristic
312#14579137D411yescharacteristic
313#14579137C2311yescharacteristic
314#14579135—21no—
315#14579135—21no—
316#14579135C2311yescharacteristic
317#14579135C2311yescharacteristic
318#14579133—21no—
319#14579133—21no—
320#14579133—21no—
321#14579133—21no—
322#14579133—21no—
323#14579133—21no—
324#14579133—21no—
325#14579133—21no—
326#14579132—21no—
327#14579132—21no—
328#14579132—21no—
329#14579132—21no—
330#14579132—21no—
331#14579132—21no—
332#14579132—21no—
333#14579132—21no—
334#14579132—21no—
335#14579132—21no—
336#14579132—21no—
337#14579132D411yescharacteristic
338#14579132D411yescharacteristic
339#14579132C2311yescharacteristic
340#14579132C2311yescharacteristic
341#14579132C2311yescharacteristic
342#14579132C2311yescharacteristic
343#14579132C2311yescharacteristic
344#14579130—21no—
345#14579130—21no—
346#14579130—21no—
347#14579130—21no—
348#14579130—21no—
349#14579130—21no—
350#14579129—21no—
351#14579129—21no—
352#14579129—21no—
353#14579129D411yescharacteristic
354#14579129D411yescharacteristic
355Q8×Dic79C2311yescharacteristic
356Q8×Dic79C2311yescharacteristic
357Q8×Dic79C2311yescharacteristic
358#14579126—21no—
359#14579126C2311yescharacteristic
360#14579126C2311yescharacteristic
361D4×Dic79—21no—
362D4×Dic79—21no—
363D4×Dic79—21no—
364D4×Dic79—21no—
365D4×Dic79C2311yescharacteristic
366D4×Dic79C2311yescharacteristic
367D4×Dic79C2311yescharacteristic
368C4×C22⋊D79—21no—
369C4×C22⋊D79—21no—
370C4×C22⋊D79—21no—
371C4×C22⋊D79—21no—
372C4×C22⋊D79—21no—
373C4×C22⋊D79—21no—
374C4×C22⋊D79C2311yescharacteristic
375C4×C22⋊D79C2311yescharacteristic
376C4×C22⋊D79C2311yescharacteristic
377C4×C22⋊D79C2311yescharacteristic
378(C22⋊D79)⋊C4—21no—
379(C22⋊D79)⋊C4—21no—
380(C22⋊D79)⋊C4—21no—
381#14579120—21no—
382#14579120—21no—
383#14579120C2311yescharacteristic
384#14579120C2311yescharacteristic
385#14579119C2311yescharacteristic
386C2×C4⋊Dic79—21no—
387C2×C4⋊Dic79C2311yescharacteristic
388C2×Dic79⋊C4—21no—
389C4⋊C4×D79—21no—
390C4⋊C4×D79C2311yescharacteristic
391C2×C22⋊Dic79—21no—
392C2×C22⋊Dic79—21no—
393C2×C22⋊Dic79—21no—
394C22⋊C4×D79—21no—
395#14579095C2311yescharacteristic
396#14579095C2311yescharacteristic
397#14579094C2311yescharacteristic
398#14579094C2311yescharacteristic
399#14579094C2311yescharacteristic
400#14579094C2311yescharacteristic
401#14579093C2311yescharacteristic
402#14579093C2311yescharacteristic
403Dic79⋊C8C2311yescharacteristic
404Dic79⋊C8C2311yescharacteristic
405Dic79⋊C8C2311yescharacteristic
406Dic79⋊C8C2311yescharacteristic
407#14579086C2311yescharacteristic
408#14579086C2311yescharacteristic
409#14579086C2311yescharacteristic
410#14579086C2311yescharacteristic
411#14579086C2311yescharacteristic
412#14579086C2311yescharacteristic
413#14579085C2311yescharacteristic
414#14579085C2311yescharacteristic
415#14579085C2311yescharacteristic
416#14579085C2311yescharacteristic
417#14579084C2311yescharacteristic
418#14579084C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579083C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579082C2311yescharacteristic
428#14579082C2311yescharacteristic
429#14579081C2311yescharacteristic
430#14579081C2311yescharacteristic
431C22⋊(C79⋊C8)C2311yescharacteristic
432C22⋊(C79⋊C8)C2311yescharacteristic
433C22⋊(C79⋊C8)C2311yescharacteristic
434C22⋊(C79⋊C8)C2311yescharacteristic
435(C2×D79)⋊C8C2311yescharacteristic
436(C2×D79)⋊C8C2311yescharacteristic
437(C2×D79)⋊C8C2311yescharacteristic
438(C2×D79)⋊C8C2311yescharacteristic
439#14579071C2311yescharacteristic
440#14579071C2311yescharacteristic
441C8×Dic79C2311yescharacteristic
442C8×Dic79C2311yescharacteristic
443H(5,𝔽2)×C79—42no—
444H(5,𝔽2)×C79—42no—
445C2×#41×C79—21no—
446C2×#41×C79C2311yescharacteristic
447C2×#41×C79C2311yescharacteristic
448C2×#41×C79C2311yescharacteristic
449C2×#41×C79C2311yescharacteristic
450C2×#41×C79C2311yescharacteristic
451C22×D4×C79—21no—
452C22×D4×C79—21no—
453C22×D4×C79—21no—
454C22×D4×C79C2311yescharacteristic
455C22×D4×C79C2311yescharacteristic
456C22×D4×C79C2311yescharacteristic
457AGL(1,ℤ/8)×C79—42no—
458#135×C79—42no—
459C2×Q16×C79C2311yescharacteristic
460C2×SD16×C79C2311yescharacteristic
461C2×SD16×C79C2311yescharacteristic
462C2×SD16×C79C2311yescharacteristic
463C2×SD16×C79C2311yescharacteristic
464C2×D8×C79C2311yescharacteristic
465C2×D8×C79C2311yescharacteristic
466C2×D8×C79C2311yescharacteristic
467C2×M16×C79C2311yescharacteristic
468C22×C8×C79C2311yescharacteristic
469C22⋊Q8×C79—21no—
470C22⋊Q8×C79C2311yescharacteristic
471C22⋊Q8×C79C2311yescharacteristic
472#121×C79—21no—
473#121×C79—21no—
474#121×C79—21no—
475#121×C79C2311yescharacteristic
476#121×C79C2311yescharacteristic
477C2×C4⋊C4×C79C2311yescharacteristic
478#103×C79C2311yescharacteristic
479#103×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481#102×C79C2311yescharacteristic
482#102×C79C2311yescharacteristic
483#102×C79C2311yescharacteristic
484#102×C79C2311yescharacteristic
485#102×C79C2311yescharacteristic
486C22⋊C8×C79C2311yescharacteristic
487C22⋊C8×C79C2311yescharacteristic
488C22⋊C8×C79C2311yescharacteristic
489C22⋊C8×C79C2311yescharacteristic
490C23×D79—21no—
491C23×D79C2×D411yescharacteristic
492#11929625—22no—
493#11929625—41no—
494#11929624—41no—
495#11929624—41no—
496#11929624—44no—
497#11929623—22no—
498#11929623—41no—
499#11929623—44no—
500#11929623—41no—
501#11929623—41no—
502C2×Dic158—21no—
503C2×Dic158—21no—
504C2×Dic158—21no—
505C2×Dic158—21no—
506C2×Dic158—41no—
507C2×Dic158—41no—
508C2×Dic158C2411yescharacteristic
509C2×Dic158C2411yescharacteristic
510C2×Dic158C2411yescharacteristic
511Q8×D79—22no—
512Q8×D79—41no—
513Q8×D79—41no—
514Q8×D79—41no—
515C2×D316—21no—
516C2×D316C2411yescharacteristic
517C2×C22⋊D79—21no—
518C2×C22⋊D79—21no—
519C2×C22⋊D79—21no—
520C2×C22⋊D79—21no—
521C2×C22⋊D79—21no—
522C2×C22⋊D79—21no—
523C2×C22⋊D79—21no—
524C2×C22⋊D79—21no—
525C2×C22⋊D79—21no—
526C2×C22⋊D79—21no—
527C2×C22⋊D79—21no—
528C2×C22⋊D79—21no—
529C2×C22⋊D79—21no—
530C2×C22⋊D79—21no—
531C2×C22⋊D79—21no—
532C2×C22⋊D79—82no—
533C2×C22⋊D79—82no—
534C2×C22⋊D79—82no—
535C2×C22⋊D79C2×D411yescharacteristic
536C2×C22⋊D79C2×D411yescharacteristic
537C2×C22⋊D79C2×D411yescharacteristic
538C2×C22⋊D79C2×D411yescharacteristic
539D4×D79—22no—
540D4×D79—41no—
541D4×D79—44no—
542C22×Dic79—21no—
543C22×Dic79—21no—
544C22×Dic79—21no—
545C22×Dic79—21no—
546C22×Dic79—21no—
547C22×Dic79—21no—
548C22×Dic79—21no—
549C22×Dic79C2×D411yescharacteristic
550C2×C4×D79—21no—
551C2×C4×D79—21no—
552C2×C4×D79—21no—
553C2×C4×D79—21no—
554C2×C4×D79—21no—
555C2×C4×D79—41no—
556C2×C4×D79—41no—
557C2×C4×D79—44no—
558C2×C4×D79C2×D411yescharacteristic
559C2×C4×D79C2×D411yescharacteristic
560C2×C4×D79C2411yescharacteristic
561C2×C4×D79C2411yescharacteristic
562Dic316—41no—
563Dic316—41no—
564#11929614—22no—
565#11929614—22no—
566#11929614—41no—
567#11929613—41no—
568#11929613—41no—
569#11929612—22no—
570#11929612—22no—
571#11929612—41no—
572#11929612—41no—
573#11929612—41no—
574#11929612—41no—
575#11929612—41no—
576#11929611—41no—
577#11929609—41no—
578#11929608—41no—
579#11929607—41no—
580#11929607—41no—
581#11929607—41no—
582#11929607—41no—
583C2×C79⋊C8—41no—
584C2×C79⋊C8C2411yescharacteristic
585C2×C79⋊C8C2411yescharacteristic
586C2×C79⋊C8C2411yescharacteristic
587C2×C79⋊C8C2411yescharacteristic
588C4⋊Dic79—21no—
589C4⋊Dic79—21no—
590C4⋊Dic79—21no—
591C4⋊Dic79—21no—
592C4⋊Dic79—21no—
593C4⋊Dic79—21no—
594C4⋊Dic79—21no—
595C4⋊Dic79C2×D411yescharacteristic
596C4⋊Dic79C2×D411yescharacteristic
597C4⋊Dic79C2411yescharacteristic
598C4⋊Dic79C2411yescharacteristic
599C4⋊Dic79C2411yescharacteristic
600C4⋊Dic79C2411yescharacteristic
601Dic79⋊C4—21no—
602Dic79⋊C4—21no—
603Dic79⋊C4—21no—
604Dic79⋊C4—21no—
605Dic79⋊C4—21no—
606Dic79⋊C4—21no—
607Dic79⋊C4—21no—
608Dic79⋊C4—21no—
609Dic79⋊C4—21no—
610Dic79⋊C4—21no—
611Dic79⋊C4—21no—
612Dic79⋊C4—21no—
613Dic79⋊C4—21no—
614Dic79⋊C4—21no—
615Dic79⋊C4C2×D411yescharacteristic
616Dic79⋊C4C2×D411yescharacteristic
617Dic79⋊C4C2×D411yescharacteristic
618Dic79⋊C4C2×D411yescharacteristic
619C22⋊Dic79—21no—
620C22⋊Dic79—21no—
621C22⋊Dic79—21no—
622C22⋊Dic79—21no—
623C22⋊Dic79—21no—
624C22⋊Dic79—21no—
625C22⋊Dic79—21no—
626C22⋊Dic79—21no—
627C22⋊Dic79—21no—
628C22⋊Dic79—21no—
629C22⋊Dic79—21no—
630C22⋊Dic79—21no—
631C22⋊Dic79—21no—
632C22⋊Dic79—21no—
633C22⋊Dic79—21no—
634C22⋊Dic79—21no—
635C22⋊Dic79—21no—
636C22⋊Dic79—21no—
637C22⋊Dic79—21no—
638C22⋊Dic79—21no—
639C22⋊Dic79—21no—
640C22⋊Dic79C2×D411yescharacteristic
641C22⋊Dic79C2×D411yescharacteristic
642C22⋊Dic79C2×D411yescharacteristic
643C22⋊Dic79C2×D411yescharacteristic
644C22⋊Dic79C2×D411yescharacteristic
645C22⋊Dic79C2×D411yescharacteristic
646(C2×D79)⋊C4—21no—
647(C2×D79)⋊C4—21no—
648(C2×D79)⋊C4—21no—
649(C2×D79)⋊C4—21no—
650(C2×D79)⋊C4—21no—
651(C2×D79)⋊C4—21no—
652(C2×D79)⋊C4C2×D411yescharacteristic
653(C2×D79)⋊C4C2×D411yescharacteristic
654(C2×D79)⋊C4C2×D411yescharacteristic
655(C2×D79)⋊C4C2×D411yescharacteristic
656C4×Dic79—21no—
657C4×Dic79—21no—
658C4×Dic79—21no—
659C4×Dic79—21no—
660C4×Dic79—21no—
661C4×Dic79—21no—
662C4×Dic79—21no—
663C4×Dic79C2411yescharacteristic
664C4×Dic79C2411yescharacteristic
665C24×C79—21no—
666C24×C79—21no—
667C24×C79—21no—
668#41×C79—22no—
669#41×C79—22no—
670#41×C79—22no—
671#41×C79—22no—
672#41×C79—41no—
673#41×C79—41no—
674#41×C79—41no—
675#41×C79—41no—
676#41×C79—44no—
677#41×C79—41no—
678#41×C79—41no—
679C2×Q8×C79C2×D411yescharacteristic
680C2×Q8×C79C2411yescharacteristic
681C2×Q8×C79C2411yescharacteristic
682C2×D4×C79—21no—
683C2×D4×C79—22no—
684C2×D4×C79—22no—
685C2×D4×C79—21no—
686C2×D4×C79—21no—
687C2×D4×C79—21no—
688C2×D4×C79—21no—
689C2×D4×C79—21no—
690C2×D4×C79—21no—
691C2×D4×C79—21no—
692C2×D4×C79—21no—
693C2×D4×C79—41no—
694C2×D4×C79—41no—
695C2×D4×C79—41no—
696C2×D4×C79—41no—
697C2×D4×C79—44no—
698C2×D4×C79—44no—
699C2×D4×C79—44no—
700C2×D4×C79C2×D411yescharacteristic
701C2×D4×C79C2×D411yescharacteristic
702C2×D4×C79C2×D411yescharacteristic
703C2×D4×C79C2411yescharacteristic
704C2×D4×C79C2411yescharacteristic
705C2×D4×C79C2411yescharacteristic
706C2×D4×C79C2411yescharacteristic
707C22×C4×C79—21no—
708C22×C4×C79—21no—
709C22×C4×C79—21no—
710C22×C4×C79—21no—
711C22×C4×C79—21no—
712C22×C4×C79C2411yescharacteristic
713C22×C4×C79C2411yescharacteristic
714C22×C4×C79C2411yescharacteristic
715Q16×C79—22no—
716SD16×C79—22no—
717SD16×C79—22no—
718SD16×C79—41no—
719SD16×C79—41no—
720D8×C79—22no—
721D8×C79—41no—
722D8×C79—41no—
723M16×C79—41no—
724C2×C8×C79—41no—
725C2×C8×C79C2411yescharacteristic
726C2×C8×C79C2411yescharacteristic
727C2×C8×C79C2411yescharacteristic
728C2×C8×C79C2411yescharacteristic
729C4⋊C4×C79—21no—
730C4⋊C4×C79—21no—
731C4⋊C4×C79—21no—
732C4⋊C4×C79C2411yescharacteristic
733C4⋊C4×C79C2411yescharacteristic
734C22⋊C4×C79—21no—
735C22⋊C4×C79—21no—
736C22⋊C4×C79—21no—
737C22⋊C4×C79—21no—
738C23×C79—21no—
739C23×C79—21no—
740C23×C79—21no—
741C23×C79—21no—
742C23×C79—42no—
743C23×C79—42no—
744C23×C79—42no—
745C23×C79—81no—
746C23×C79—81no—
747C23×C79—81no—
748C23×C79—81no—
749C23×C79—81no—
750C23×C79—81no—
751C23×C79C22×D411yescharacteristic
752C23×C79C22×D411yescharacteristic
753C23×C79C22×D411yescharacteristic
754C22×D79—21no—
755C22×D79—41no—
756C22×D79—41no—
757C22×D79—41no—
758C22×D79—42no—
759C22×D79—42no—
760C22×D79—81no—
761C22×D79C22×D411yescharacteristic
762C22×D79C22×D411yescharacteristic
763Q8×C79—21no—
764Q8×C79—21no—
765Q8×C79—21no—
766Q8×C79—41no—
767Q8×C79H(5,𝔽2)12yes—
768D4×C79—24no—
769D4×C79—21no—
770D4×C79—21no—
771D4×C79—21no—
772D4×C79—21no—
773D4×C79—21no—
774D4×C79—21no—
775D4×C79—21no—
776D4×C79—41no—
777D4×C79—41no—
778D4×C79—41no—
779D4×C79—42no—
780D4×C79—42no—
781D4×C79—42no—
782D4×C79—42no—
783D4×C79—42no—
784D4×C79—81no—
785D4×C79—81no—
786D4×C79—81no—
787D4×C79H(5,𝔽2)12yes—
788C2×C4×C79—24no—
789C2×C4×C79—21no—
790C2×C4×C79—21no—
791C2×C4×C79—21no—
792C2×C4×C79—21no—
793C2×C4×C79—21no—
794C2×C4×C79—21no—
795C2×C4×C79—21no—
796C2×C4×C79—21no—
797C2×C4×C79—21no—
798C2×C4×C79—21no—
799C2×C4×C79—42no—
800C2×C4×C79—42no—
801C2×C4×C79—81no—
802C2×C4×C79—81no—
803C2×C4×C79C22×D411yescharacteristic
804C2×C4×C79C22×D411yescharacteristic
805C2×C4×C79C22×D411yescharacteristic
806C2×C4×C79C2511yescharacteristic
807C22⋊D79—41no—
808C22⋊D79—41no—
809C22⋊D79—41no—
810C22⋊D79—41no—
811C22⋊D79—42no—
812C22⋊D79—42no—
813C22⋊D79—42no—
814C22⋊D79—42no—
815C22⋊D79—42no—
816C22⋊D79—42no—
817C22⋊D79—81no—
818C22⋊D79—81no—
819C22⋊D79—81no—
820C22⋊D79—81no—
821C22⋊D79—81no—
822C22⋊D79—81no—
823C22⋊D79—81no—
824C22⋊D79—81no—
825C22⋊D79—81no—
826C2×Dic79—21no—
827C2×Dic79—21no—
828C2×Dic79—21no—
829C2×Dic79—21no—
830C2×Dic79—21no—
831C2×Dic79—21no—
832C2×Dic79—21no—
833C2×Dic79—41no—
834C2×Dic79—42no—
835C2×Dic79—81no—
836C2×Dic79—81no—
837C2×Dic79—81no—
838C2×Dic79—81no—
839C2×Dic79—81no—
840C2×Dic79—81no—
841C2×Dic79C22×D411yescharacteristic
842C2×Dic79C22×D411yescharacteristic
843C2×Dic79C22×D411yescharacteristic
844C2×Dic79C22×D411yescharacteristic
845C2×Dic79C22×D411yescharacteristic
846C2×Dic79C22×D411yescharacteristic
847D316—21no—
848D316—21no—
849D316—42no—
850C4×D79—21no—
851C4×D79—21no—
852C4×D79—21no—
853C4×D79—21no—
854C4×D79—41no—
855C4×D79—41no—
856C4×D79—42no—
857C4×D79—42no—
858C4×D79—42no—
859C4×D79—81no—
860C4×D79—81no—
861Dic158—21no—
862Dic158—21no—
863Dic158—21no—
864Dic158—21no—
865Dic158—21no—
866Dic158—21no—
867Dic158—42no—
868Dic158—81no—
869Dic158—81no—
870Dic158—81no—
871C8×C79—21no—
872C8×C79—21no—
873C8×C79—21no—
874C8×C79—21no—
875C79⋊C8—21no—
876C79⋊C8—21no—
877C79⋊C8—21no—
878C79⋊C8—21no—
879C22×C79—21no—
880C22×C79—21no—
881C22×C79—21no—
882C22×C79—21no—
883C22×C79—21no—
884C22×C79—21no—
885C22×C79—21no—
886C22×C79—22no—
887C22×C79—21no—
888C22×C79—21no—
889C22×C79—41no—
890C22×C79—41no—
891C22×C79—41no—
892C22×C79—41no—
893C22×C79—41no—
894C22×C79—41no—
895C22×C79—41no—
896C22×C79—41no—
897C22×C79—41no—
898C22×C79—41no—
899C22×C79—41no—
900C22×C79—162no—
901C22×C79—162no—
902C22×C79—162no—
903C22×C79C23×D411yescharacteristic
904C2×D79—21no—
905C2×D79—21no—
906C2×D79—21no—
907C2×D79—21no—
908C2×D79—21no—
909C2×D79—21no—
910C2×D79—41no—
911C2×D79—41no—
912C2×D79—41no—
913C2×D79—82no—
914C2×D79—84no—
915C4×C79—21no—
916C4×C79—22no—
917C4×C79—21no—
918C4×C79—21no—
919C4×C79—41no—
920C4×C79—41no—
921C4×C79—41no—
922C4×C79C2×H(5,𝔽2)11yescharacteristic
923C4×C79C2×H(5,𝔽2)11yescharacteristic
924Dic79—21no—
925Dic79—21no—
926Dic79—21no—
927Dic79—21no—
928Dic79—21no—
929Dic79—21no—
930Dic79—41no—
931Dic79—41no—
932Dic79—41no—
933Dic79—41no—
934Dic79—41no—
935Dic79—41no—
936Dic79—41no—
937#61654—791nomaximal, Sylow
938C2×C79—41no—
939C2×C79—42no—
940C2×C79—41no—
941C2×C79—41no—
942C2×C79—81no—
943C2×C79—81no—
944C2×C79—81no—
945C2×C79#348411yescharacteristic
946C2×C79#358511yescharacteristic
947C2×C79#358611yescharacteristic
948D79—41no—
949D79—41no—
950D79—81no—
951#3541—791no—
952#3488—791no—
953#3333—791no—
954#3327—791no—
955#3324—791no—
956#3322—791no—
957#3314—791no—
958#3313—791no—
959#3310—791no—
960#3309—791no—
961#3278—791no—
962#3277—791no—
963#3275—791no—
964#3272—791no—
965#3271—791no—
966#3269—791no—
967#3266—791no—
968#3265—791no—
969#3224—791no—
970#3222—791no—
971#3203—791no—
972#3201—791no—
973#3194—791no—
974#3193—791no—
975#3124—791no—
976#3120—791no—
977#3012D7911yescharacteristic, complemented
978#3009—791no—
979#3007—791no—
980#3005—791no—
981#2978—791no—
982C79#6165411yescharacteristic, complemented, Sylow
983C2×H(5,𝔽2)C2×D7911yescharacteristic
984C22×#41—791no—
985C2×#137—791no—
986C2×#137—791no—
987C2×#137—791no—
988C2×#137—791no—
989C2×AGL(1,ℤ/8)—791no—
990C2×AGL(1,ℤ/8)C2×D7911yescharacteristic, complemented
991C2×#135C2×D7911yescharacteristic, complemented
992C22×SD16—791no—
993#563—1581no—
994#562—1581no—
995#556—791no—
996#554—791no—
997#554—1581no—
998#553—791no—
999#553—1581no—
1000#552—791no—
1001#550—791no—
1002#550—791no—
1003D4×Q8—791no—
1004#548—791no—
1005#548—791no—
1006#548—791no—
1007#548—791no—
1008#547—791no—
1009#546—791no—
1010#546—791no—
1011#546—1581no—
1012#546—1581no—
1013D42—791no—
1014D42—791no—
1015D42—1581no—
1016D42—1581no—
1017#542—791no—
1018#542—1581no—
1019#541—791no—
1020#539—1581no—
1021#538—1581no—
1022#538—1581no—
1023#537—791no—
1024#537—1581no—
1025#537C2×D7911yescharacteristic, complemented
1026#536—791no—
1027#535—791no—
1028#535—1581no—
1029#525—791no—
1030#525—791no—
1031#525—1581no—
1032C2×C22⋊Q8—791no—
1033C2×#121—791no—
1034C2×#121—1581no—
1035#520—791no—
1036#497—791no—
1037#496—791no—
1038#495—791no—
1039#492—791no—
1040#490—791no—
1041#489—791no—
1042#488—791no—
1043#486—791no—
1044#485—791no—
1045#484—791no—
1046#484—791no—
1047#484—791no—
1048#483—791no—
1049#482—791no—
1050#482—791no—
1051#482—791no—
1052#480—791no—
1053#480—791no—
1054#480—791no—
1055#480—791no—
1056#479—791no—
1057#478—791no—
1058#477—791no—
1059#474—791no—
1060#470—791no—
1061#469—791no—
1062#469—791no—
1063#468—791no—
1064#468—791no—
1065#468—791no—
1066#468—791no—
1067#468—791no—
1068#468—791no—
1069#468—791no—
1070#468—791no—
1071#468—791no—
1072#467—791no—
1073#467—791no—
1074#466—791no—
1075#465—791no—
1076#464—791no—
1077#464—791no—
1078#464—791no—
1079#464—791no—
1080#463—791no—
1081#463—791no—
1082#462—791no—
1083#461—791no—
1084#460—791no—
1085#460—791no—
1086#460—791no—
1087#459—791no—
1088#452—791no—
1089#452—791no—
1090#452—791no—
1091#452—791no—
1092#452—791no—
1093#452—791no—
1094#452—791no—
1095#452—791no—
1096#452—791no—
1097#452—791no—
1098#452C2×D7911yescharacteristic
1099#452C2×D7911yescharacteristic, complemented
1100#451—791no—
1101#451—791no—
1102#451—791no—
1103#450—791no—
1104#450—791no—
1105#450—791no—
1106#450—791no—
1107#450—791no—
1108#450—791no—
1109#450C2×D7911yescharacteristic, complemented
1110#450C2×D7911yescharacteristic, complemented
1111#449—791no—
1112#449—791no—
1113#449—791no—
1114#449—791no—
1115#449—791no—
1116#449—791no—
1117#449C2×D7911yescharacteristic
1118#449C2×D7911yescharacteristic, complemented
1119#448—791no—
1120#448—791no—
1121#448—791no—
1122#447C2×D7911yescharacteristic, complemented
1123#447C2×D7911yescharacteristic, complemented
1124#441—791no—
1125#440—791no—
1126#440—791no—
1127#440—791no—
1128C4×Q16—791no—
1129C4×Q16—791no—
1130C4×SD16—791no—
1131C4×D8—791no—
1132#436—791no—
1133#436—791no—
1134#436—791no—
1135#436—791no—
1136#435—791no—
1137#435—791no—
1138#435—791no—
1139#435—791no—
1140#433—791no—
1141#433—791no—
1142#419—791no—
1143#418—791no—
1144#418—791no—
1145#417—791no—
1146#417—791no—
1147#417C2×D7911yescharacteristic, complemented
1148#416—791no—
1149C2×#102C2×D7911yescharacteristic, complemented
1150#408—791no—
1151#408C2×D7911yescharacteristic, complemented
1152#407—791no—
1153#407—791no—
1154H(5,𝔽2)—42no—
1155H(5,𝔽2)—42no—
1156C2×#41—21no—
1157C2×#41—3162no—
1158C2×#41—3162no—
1159C2×#41—791no—
1160C2×#41—791no—
1161C2×#41—791no—
1162C2×#41—791no—
1163C2×#41—1581no—
1164C2×#41—1581no—
1165C2×#41C22×D7911yescharacteristic
1166C2×#41C22×D7911yescharacteristic
1167C2×#41C22×D7911yescharacteristic
1168C2×#41C22×D7911yescharacteristic
1169C2×#41C22×D7911yescharacteristic
1170C22×Q8—791no—
1171C22×Q8—791no—
1172C22×Q8—791no—
1173C22×D4—21no—
1174C22×D4—21no—
1175C22×D4—21no—
1176C22×D4—791no—
1177C22×D4—1581no—
1178C22×D4—1581no—
1179C22×D4—1581no—
1180C22×D4—1581no—
1181C22×D4C22×D7911yescharacteristic
1182C22×D4C22×D7911yescharacteristic
1183C22×D4C22×D7911yescharacteristic
1184C23×C4—791no—
1185C23×C4—1581no—
1186#137—3162no—
1187#137—3162no—
1188#137—3162no—
1189#137—3162no—
1190AGL(1,ℤ/8)—42no—
1191AGL(1,ℤ/8)—3162no—
1192#135—42no—
1193C2×Q16—791no—
1194C2×Q16—791no—
1195C2×Q16—791no—
1196C2×Q16—791no—
1197C2×Q16—791no—
1198C2×Q16C22×D7911yescharacteristic
1199C2×SD16—3162no—
1200C2×SD16—791no—
1201C2×SD16—791no—
1202C2×SD16—791no—
1203C2×SD16—791no—
1204C2×SD16—791no—
1205C2×SD16—791no—
1206C2×SD16—791no—
1207C2×SD16—791no—
1208C2×SD16—791no—
1209C2×SD16—791no—
1210C2×SD16C22×D7911yescharacteristic
1211C2×SD16C22×D7911yescharacteristic
1212C2×SD16C22×D7911yescharacteristic
1213C2×SD16C22×D7911yescharacteristic
1214C2×D8—791no—
1215C2×D8C22×D7911yescharacteristic
1216C2×D8C22×D7911yescharacteristic
1217C2×D8C22×D7911yescharacteristic
1218C2×M16—791no—
1219C2×M16—791no—
1220C2×M16—791no—
1221C2×M16—791no—
1222C2×M16—791no—
1223C2×M16C22×D7911yescharacteristic
1224C22×C8—791no—
1225C22×C8C22×D7911yescharacteristic
1226C4⋊Q8—791no—
1227C4⋊Q8—791no—
1228C4⋊Q8—1581no—
1229C4⋊Q8—1581no—
1230#127—791no—
1231#127—791no—
1232#127—1581no—
1233#127—1581no—
1234#126—1581no—
1235#126—1581no—
1236#126—1581no—
1237#126—1581no—
1238#126—1581no—
1239#126—1581no—
1240#126—1581no—
1241#125—791no—
1242#125—1581no—
1243#125—1581no—
1244#125—1581no—
1245#125—1581no—
1246#124—791no—
1247#124—791no—
1248#124—791no—
1249#124—1581no—
1250#124—1581no—
1251#124—1581no—
1252#124—1581no—
1253#124—1581no—
1254#124—1581no—
1255#124—1581no—
1256#123—791no—
1257#123—791no—
1258#123—1581no—
1259#123—1581no—
1260#123—1581no—
1261#123—1581no—
1262#123—1581no—
1263#123—1581no—
1264#123—1581no—
1265#123—1581no—
1266#123—1581no—
1267#123—1581no—
1268C22⋊Q8—21no—
1269C22⋊Q8—791no—
1270C22⋊Q8—791no—
1271C22⋊Q8—791no—
1272C22⋊Q8—791no—
1273C22⋊Q8—791no—
1274C22⋊Q8—791no—
1275C22⋊Q8—791no—
1276C22⋊Q8—791no—
1277C22⋊Q8—791no—
1278C22⋊Q8—791no—
1279C22⋊Q8—791no—
1280C22⋊Q8—1581no—
1281C22⋊Q8—1581no—
1282C22⋊Q8—1581no—
1283C22⋊Q8—1581no—
1284C22⋊Q8—1581no—
1285C22⋊Q8—1581no—
1286C22⋊Q8—1581no—
1287C22⋊Q8—1581no—
1288C22⋊Q8—1581no—
1289C22⋊Q8—1581no—
1290C22⋊Q8—1581no—
1291C22⋊Q8—1581no—
1292C22⋊Q8C22×D7911yescharacteristic
1293C22⋊Q8C22×D7911yescharacteristic
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—791no—
1298#121—791no—
1299#121—791no—
1300#121—791no—
1301#121—791no—
1302#121—791no—
1303#121—791no—
1304#121—791no—
1305#121—791no—
1306#121—1581no—
1307#121—1581no—
1308#121—1581no—
1309#121—1581no—
1310#121—1581no—
1311#121—1581no—
1312#121—1581no—
1313#121—1581no—
1314#121—1581no—
1315#121—1581no—
1316#121—1581no—
1317#121—1581no—
1318#121—1581no—
1319#121—1581no—
1320#121—1581no—
1321#121—1581no—
1322#121—1581no—
1323#121—1581no—
1324#121—1581no—
1325#121—1581no—
1326#121—1581no—
1327#121C22×D7911yescharacteristic
1328#121C22×D7911yescharacteristic
1329#120—791no—
1330#120—791no—
1331#120—1581no—
1332#120—1581no—
1333#120—1581no—
1334#120—1581no—
1335#120—1581no—
1336#120—1581no—
1337#120—1581no—
1338#120—1581no—
1339#120—1581no—
1340C4×Q8—791no—
1341C4×Q8—791no—
1342C4×Q8—791no—
1343C4×Q8—791no—
1344C4×Q8—791no—
1345C4×Q8—1581no—
1346C4×D4—791no—
1347C4×D4—791no—
1348C4×D4—791no—
1349C4×D4—791no—
1350C4×D4—791no—
1351C4×D4—791no—
1352C4×D4—791no—
1353C4×D4—1581no—
1354C4×D4—1581no—
1355C4×D4—1581no—
1356C4×D4—1581no—
1357C4×D4—1581no—
1358C4×D4—1581no—
1359C4×D4—1581no—
1360C4×D4—1581no—
1361C4×D4—1581no—
1362C4×D4—1581no—
1363C4×D4—1581no—
1364C4×D4—1581no—
1365C4×D4—1581no—
1366#117—791no—
1367#117—791no—
1368#117—791no—
1369#117—1581no—
1370#117—1581no—
1371C2×C4⋊C4—791no—
1372C2×C4⋊C4—791no—
1373C2×C4⋊C4—1581no—
1374C2×C4⋊C4—1581no—
1375C2×C4⋊C4—1581no—
1376C2×C4⋊C4C22×D7911yescharacteristic
1377C2×C22⋊C4—1581no—
1378C2×C22⋊C4—1581no—
1379C2×C22⋊C4—1581no—
1380C2×C22⋊C4—1581no—
1381#107—791no—
1382#107—791no—
1383#107—791no—
1384#107—791no—
1385#107—791no—
1386#107—791no—
1387#106—791no—
1388#106—791no—
1389C4⋊C8—791no—
1390C4⋊C8—791no—
1391C4⋊C8—791no—
1392C4⋊C8—791no—
1393#103—791no—
1394#103—791no—
1395#103—791no—
1396#103—791no—
1397#103—791no—
1398#103—791no—
1399#103—791no—
1400#103—791no—
1401#103—791no—
1402#103—791no—
1403#103—791no—
1404#103—791no—
1405#103C22×D7911yescharacteristic
1406#103C22×D7911yescharacteristic
1407#102—791no—
1408#102—791no—
1409#102—791no—
1410#102—791no—
1411#102—791no—
1412#102—791no—
1413#102—791no—
1414#102—791no—
1415#102—791no—
1416#102—791no—
1417#102—791no—
1418#102—791no—
1419#102C22×D7911yescharacteristic
1420#102C22×D7911yescharacteristic
1421#102C22×D7911yescharacteristic
1422#102C22×D7911yescharacteristic
1423#102C22×D7911yescharacteristic
1424#102C22×D7911yescharacteristic
1425C22⋊C8—791no—
1426C22⋊C8—791no—
1427C22⋊C8—791no—
1428C22⋊C8—791no—
1429C22⋊C8—791no—
1430C22⋊C8—791no—
1431C22⋊C8—791no—
1432C22⋊C8—791no—
1433C22⋊C8C22×D7911yescharacteristic
1434C22⋊C8C22×D7911yescharacteristic
1435C22⋊C8C22×D7911yescharacteristic
1436C22⋊C8C22×D7911yescharacteristic
1437#97—791no—
1438#97—791no—
1439C4×C8—791no—
1440C4×C8—791no—
1441C24—21no—
1442C24—21no—
1443C24—21no—
1444C24—791no—
1445C24—1581no—
1446#41—22no—
1447#41—22no—
1448#41—22no—
1449#41—22no—
1450#41—41no—
1451#41—41no—
1452#41—41no—
1453#41—41no—
1454#41—44no—
1455#41—41no—
1456#41—41no—
1457#41—3164no—
1458#41—3161no—
1459#41—3161no—
1460#41—3164no—
1461#41—3161no—
1462#41—3161no—
1463#41—3161no—
1464#41—3161no—
1465#41—1582no—
1466#41—1582no—
1467C2×Q8—3161no—
1468C2×Q8—3161no—
1469C2×Q8—3161no—
1470C2×Q8—3161no—
1471C2×Q8—3161no—
1472C2×Q8—791no—
1473C2×Q8—791no—
1474C2×Q8—791no—
1475C2×Q8—1581no—
1476C2×Q8—1581no—
1477C2×Q8—1581no—
1478C2×Q8—1582no—
1479C2×Q8—1581no—
1480C2×Q8D4×D7911yescharacteristic
1481C2×Q8C23×D7911yescharacteristic
1482C2×Q8C23×D7911yescharacteristic
1483C2×D4—21no—
1484C2×D4—22no—
1485C2×D4—22no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—41no—
1495C2×D4—41no—
1496C2×D4—41no—
1497C2×D4—41no—
1498C2×D4—44no—
1499C2×D4—44no—
1500C2×D4—44no—
1501C2×D4—3164no—
1502C2×D4—3161no—
1503C2×D4—791no—
1504C2×D4—791no—
1505C2×D4—791no—
1506C2×D4—791no—
1507C2×D4—791no—
1508C2×D4—6322no—
1509C2×D4—6322no—
1510C2×D4—6322no—
1511C2×D4—1581no—
1512C2×D4—1581no—
1513C2×D4—1581no—
1514C2×D4—1581no—
1515C2×D4—1581no—
1516C2×D4—1581no—
1517C2×D4—1581no—
1518C2×D4—1581no—
1519C2×D4—1581no—
1520C2×D4—1581no—
1521C2×D4—1581no—
1522C2×D4—1582no—
1523C2×D4—1581no—
1524C2×D4—1581no—
1525C2×D4—1581no—
1526C2×D4—1581no—
1527C2×D4—1581no—
1528C2×D4D4×D7911yescharacteristic
1529C2×D4D4×D7911yescharacteristic
1530C2×D4D4×D7911yescharacteristic
1531C2×D4C23×D7911yescharacteristic
1532C2×D4C23×D7911yescharacteristic
1533C2×D4C23×D7911yescharacteristic
1534C2×D4C23×D7911yescharacteristic
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—21no—
1540C22×C4—3164no—
1541C22×C4—3161no—
1542C22×C4—3161no—
1543C22×C4—791no—
1544C22×C4—791no—
1545C22×C4—791no—
1546C22×C4—791no—
1547C22×C4—791no—
1548C22×C4—1581no—
1549C22×C4—1581no—
1550C22×C4—1581no—
1551C22×C4—1581no—
1552C22×C4—1581no—
1553C22×C4—1581no—
1554C22×C4—1581no—
1555C22×C4—1581no—
1556C22×C4—1581no—
1557C22×C4—1581no—
1558C22×C4—1581no—
1559C22×C4—1581no—
1560C22×C4C23×D7911yescharacteristic
1561C22×C4C23×D7911yescharacteristic
1562C22×C4C23×D7911yescharacteristic
1563Q16—22no—
1564Q16—3161no—
1565Q16—3161no—
1566Q16—3161no—
1567Q16—1582no—
1568Q16—1582no—
1569SD16—22no—
1570SD16—22no—
1571SD16—41no—
1572SD16—41no—
1573SD16—3161no—
1574SD16—3161no—
1575SD16—3161no—
1576SD16—3161no—
1577SD16—3161no—
1578SD16—3161no—
1579SD16—3161no—
1580SD16—3161no—
1581SD16—1582no—
1582SD16—1582no—
1583D8—22no—
1584D8—41no—
1585D8—41no—
1586D8—3161no—
1587M16—41no—
1588M16—3161no—
1589M16—3161no—
1590M16—3161no—
1591M16—3161no—
1592M16—3161no—
1593C2×C8—41no—
1594C2×C8—3161no—
1595C2×C8—791no—
1596C2×C8—791no—
1597C2×C8—791no—
1598C2×C8—791no—
1599C2×C8C23×D7911yescharacteristic
1600C2×C8C23×D7911yescharacteristic
1601C2×C8C23×D7911yescharacteristic
1602C2×C8C23×D7911yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—791no—
1607C4⋊C4—791no—
1608C4⋊C4—791no—
1609C4⋊C4—791no—
1610C4⋊C4—791no—
1611C4⋊C4—791no—
1612C4⋊C4—791no—
1613C4⋊C4—791no—
1614C4⋊C4—791no—
1615C4⋊C4—791no—
1616C4⋊C4—1581no—
1617C4⋊C4—1581no—
1618C4⋊C4—1581no—
1619C4⋊C4—1581no—
1620C4⋊C4—1581no—
1621C4⋊C4—1581no—
1622C4⋊C4—1581no—
1623C4⋊C4—1581no—
1624C4⋊C4—1581no—
1625C4⋊C4—1581no—
1626C4⋊C4—1581no—
1627C4⋊C4—1581no—
1628C4⋊C4—1581no—
1629C4⋊C4—1581no—
1630C4⋊C4—1581no—
1631C4⋊C4—1581no—
1632C4⋊C4—1581no—
1633C4⋊C4—1581no—
1634C4⋊C4—1581no—
1635C4⋊C4—1581no—
1636C4⋊C4—1581no—
1637C4⋊C4C23×D7911yescharacteristic
1638C4⋊C4C23×D7911yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—791no—
1644C22⋊C4—791no—
1645C22⋊C4—791no—
1646C22⋊C4—791no—
1647C22⋊C4—791no—
1648C22⋊C4—791no—
1649C22⋊C4—791no—
1650C22⋊C4—791no—
1651C22⋊C4—791no—
1652C22⋊C4—791no—
1653C22⋊C4—1581no—
1654C22⋊C4—1581no—
1655C22⋊C4—1581no—
1656C22⋊C4—1581no—
1657C22⋊C4—1581no—
1658C22⋊C4—1581no—
1659C22⋊C4—1581no—
1660C22⋊C4—1581no—
1661C22⋊C4—1581no—
1662C22⋊C4—1581no—
1663C22⋊C4—1581no—
1664C22⋊C4—1581no—
1665C22⋊C4—1581no—
1666C22⋊C4—1581no—
1667C22⋊C4—1581no—
1668C22⋊C4—1581no—
1669C22⋊C4—1581no—
1670C22⋊C4—1581no—
1671C22⋊C4—1581no—
1672C22⋊C4—1581no—
1673C22⋊C4—1581no—
1674C22⋊C4—1581no—
1675C22⋊C4—1581no—
1676C22⋊C4—1581no—
1677C22⋊C4—1581no—
1678C22⋊C4—1581no—
1679C22⋊C4—1581no—
1680C42—791no—
1681C42—791no—
1682C42—1581no—
1683C42—1581no—
1684C42—1581no—
1685C42—1581no—
1686C42—1581no—
1687C42—1581no—
1688C42—1581no—
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—42no—
1694C23—42no—
1695C23—42no—
1696C23—81no—
1697C23—81no—
1698C23—81no—
1699C23—81no—
1700C23—81no—
1701C23—81no—
1702C23—3162no—
1703C23—3161no—
1704C23—3161no—
1705C23—3161no—
1706C23—3162no—
1707C23—791no—
1708C23—791no—
1709C23—6321no—
1710C23—1581no—
1711C23C2×D4×D7911yescharacteristic
1712C23C2×D4×D7911yescharacteristic
1713C23C2×D4×D7911yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—41no—
1718Q8—3162no—
1719Q8—6321no—
1720Q8—6321no—
1721Q8—6321no—
1722Q8—1581no—
1723Q8—1581no—
1724Q8—1581no—
1725Q8—1581no—
1726Q8—1581no—
1727Q8—1581no—
1728Q8#1457920612yes—
1729D4—24no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—21no—
1736D4—21no—
1737D4—41no—
1738D4—41no—
1739D4—41no—
1740D4—42no—
1741D4—42no—
1742D4—42no—
1743D4—42no—
1744D4—42no—
1745D4—81no—
1746D4—81no—
1747D4—81no—
1748D4—3162no—
1749D4—3162no—
1750D4—3162no—
1751D4—3162no—
1752D4—3162no—
1753D4—3162no—
1754D4—3162no—
1755D4—3161no—
1756D4—3161no—
1757D4—3161no—
1758D4—3161no—
1759D4—6321no—
1760D4—6321no—
1761D4—6321no—
1762D4—6321no—
1763D4—6321no—
1764D4—6321no—
1765D4—6321no—
1766D4—6321no—
1767D4—6321no—
1768D4—1581no—
1769D4—1581no—
1770D4#1457920612yes—
1771C2×C4—24no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—42no—
1783C2×C4—42no—
1784C2×C4—81no—
1785C2×C4—81no—
1786C2×C4—3162no—
1787C2×C4—3162no—
1788C2×C4—3162no—
1789C2×C4—3161no—
1790C2×C4—3161no—
1791C2×C4—3162no—
1792C2×C4—3161no—
1793C2×C4—791no—
1794C2×C4—791no—
1795C2×C4—791no—
1796C2×C4—791no—
1797C2×C4—791no—
1798C2×C4—791no—
1799C2×C4—6321no—
1800C2×C4—6321no—
1801C2×C4—6321no—
1802C2×C4—6321no—
1803C2×C4—6321no—
1804C2×C4—6321no—
1805C2×C4—6321no—
1806C2×C4—6321no—
1807C2×C4—1581no—
1808C2×C4—1581no—
1809C2×C4—1581no—
1810C2×C4—1581no—
1811C2×C4—1581no—
1812C2×C4—1581no—
1813C2×C4—1581no—
1814C2×C4—1581no—
1815C2×C4—1581no—
1816C2×C4—1581no—
1817C2×C4—1581no—
1818C2×C4C2×D4×D7911yescharacteristic
1819C2×C4C2×D4×D7911yescharacteristic
1820C2×C4C2×D4×D7911yescharacteristic
1821C2×C4C24×D7911yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1581no—
1827C8—1581no—
1828C8—1581no—
1829C8—1581no—
1830C22—21no—
1831C22—22no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—21no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—162no—
1852C22—162no—
1853C22—162no—
1854C22—3161no—
1855C22—3161no—
1856C22—3161no—
1857C22—6322no—
1858C22—6324no—
1859C22—1581no—
1860C22—1581no—
1861C22—1581no—
1862C22—1581no—
1863C22—1581no—
1864C22—1581no—
1865C22C22×D4×D7911yescharacteristic
1866C4—21no—
1867C4—22no—
1868C4—21no—
1869C4—21no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—3161no—
1874C4—3161no—
1875C4—3161no—
1876C4—3161no—
1877C4—3161no—
1878C4—3161no—
1879C4—3161no—
1880C4—1581no—
1881C4—1581no—
1882C4—1581no—
1883C4—1581no—
1884C4—1581no—
1885C4—1581no—
1886C4C2×#1457920611yescharacteristic
1887C4C2×#1457920611yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—41no—
1891C2—42no—
1892C2—81no—
1893C2—81no—
1894C2—81no—
1895C2—3161no—
1896C2—3161no—
1897C2—6321no—
1898C2#2377702911yescharacteristic
1899C2#2377817511yescharacteristic
1900C2#2377818211yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3012C2
socleC22×C79C23×D4
hypercenter#3012D79
hypocenterC79#61654
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3012

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #23777681C2semidirect
2. #23777062C2semidirect
3. #23775734C2semidirect
4. #23775669C2semidirect
5. #23775624C2semidirect
6. #23775605C2semidirect
7. #23775477C2semidirect
8. #23775470C2semidirect
9. #23775417C2semidirect
10. #23775410C2semidirect
11. #23775059C2semidirect
12. #23775050C2semidirect
13. #23775031C2semidirect
14. #23774994C2semidirect
15. #23774985C2semidirect
16. #23774955C2semidirect
17. #23774914C2semidirect
18. #23774899C2semidirect
19. #23774490C2semidirect
20. #23774468C2semidirect
21. #23774297C2semidirect
22. #23774284C2semidirect
23. #23774211C2semidirect
24. #23774203C2semidirect
25. #23773655C2semidirect
26. #23773607C2semidirect
27. #23772677C2semidirect
28. #23772657C2semidirect
29. #23772638C2semidirect
30. #23772458C2semidirect
31. C79×#3012C2semidirect
33. C2×#14579193C22semidirect
34. C2×#14579191C22semidirect
35. C2×#14579190C22semidirect
36. C2×#14579190C22semidirect
37. C2×#14579185C22semidirect
38. C22×#11929612C22semidirect
41. #19099284C22semidirect
42. #19099268C22semidirect
45. #19099260C22semidirect
46. #19099248C22semidirect
49. #19099226C22semidirect
52. #19099220C22semidirect
53. #19099219C22semidirect
54. #19099212C22semidirect
64. #19099180C22semidirect
65. #19099173C22semidirect
71. #19099134C22semidirect
74. #19099073C22semidirect
77. C22⋊Q8×D79C22semidirect
81. #19098954C22semidirect
82. #19098951C22semidirect
83. #19098946C22semidirect
84. #19098934C22semidirect
85. #19098926C22semidirect
86. #19098921C22semidirect
87. #19098916C22semidirect
88. #19098908C22semidirect
89. #19098905C22semidirect
90. #19098899C22semidirect
91. #19098898C22semidirect
92. #19098896C22semidirect
93. #19098894C22semidirect
94. #19098888C22semidirect
95. #19098886C22semidirect
96. #19098886C22semidirect
97. #19098876C22semidirect
98. #19098875C22semidirect
99. #19098875C22semidirect
100. #19098874C22semidirect
101. #19098868C22semidirect
102. #19098865C22semidirect
103. #19098856C22semidirect
104. #19098841C22semidirect
105. #19098821C22semidirect
106. #19098813C22semidirect
107. #19098813C22semidirect
108. #19098811C22semidirect
109. #19098809C22semidirect
110. #19098808C22semidirect
111. #19098808C22semidirect
112. #19098808C22semidirect
113. #19098808C22semidirect
114. #19098807C22semidirect
115. #19098806C22semidirect
116. #19098806C22semidirect
117. #19098804C22semidirect
118. #19098802C22semidirect
119. #19098797C22semidirect
120. #19098792C22semidirect
121. #19098784C22semidirect
122. #19098784C22semidirect
123. #19098783C22semidirect
124. #19098783C22semidirect
125. #19098776C22semidirect
126. #19098776C22semidirect
127. #19098771C22semidirect
128. #19098766C22semidirect
129. #19098762C22semidirect
130. #19098762C22semidirect
131. #19098761C22semidirect
132. #19098756C22semidirect
133. #19098728C22semidirect
134. #19098727C22semidirect
135. #19098727C22semidirect
136. #19098726C22semidirect
139. #19098725C22semidirect
140. #19098725C22semidirect
141. #19098725C22semidirect
142. #19098723C22semidirect
143. #19098721C22semidirect
144. #19098720C22semidirect
145. #19098717C22semidirect
146. #19098715C22semidirect
147. #19098714C22semidirect
148. #19098714C22semidirect
149. #19098714C22semidirect
150. #19098714C22semidirect
151. #19098712C22semidirect
152. #19098708C22semidirect
153. #19098707C22semidirect
154. #19098706C22semidirect
155. #19098705C22semidirect
156. #19098705C22semidirect
157. #19098705C22semidirect
158. #19098704C22semidirect
159. #19098700C22semidirect
160. #19098700C22semidirect
161. #19098670C22semidirect
162. #19098664C22semidirect
163. #19098660C22semidirect
164. #19098660C22semidirect
165. #19098655C22semidirect
166. #19098655C22semidirect
167. SD16×Dic79C22semidirect
168. D8×Dic79C22semidirect
169. #19098639C22semidirect
170. #19098639C22semidirect
171. #19098638C22semidirect
172. #19098638C22semidirect
173. #19098634C22semidirect
174. #19098634C22semidirect
175. #19098631C22semidirect
176. #19098631C22semidirect
177. #19098621C22semidirect
178. #19098621C22semidirect
179. #19098570C22semidirect
180. #19098568C22semidirect
181. #19098566C22semidirect
182. #19098563C22semidirect
183. #19098561C22semidirect
184. #19098559C22semidirect
185. #19098530C22semidirect
186. #19098525C22semidirect
187. #19098525C22semidirect
189. C2×AGL(1,ℤ/8)×C79C22semidirect
190. C2×#135×C79C22semidirect
191. #537×C79C22semidirect
193. #452×C79C22semidirect
194. #450×C79C22semidirect
195. #450×C79C22semidirect
197. #449×C79C22semidirect
198. #447×C79C22semidirect
199. #447×C79C22semidirect
200. #417×C79C22semidirect
201. C2×#102×C79C22semidirect
202. #408×C79C22semidirect
977. #3012D79semidirect
982. C79#61654semidirect
990. C2×AGL(1,ℤ/8)C2×D79semidirect
991. C2×#135C2×D79semidirect
1025. #537C2×D79semidirect
1099. #452C2×D79semidirect
1109. #450C2×D79semidirect
1110. #450C2×D79semidirect
1118. #449C2×D79semidirect
1122. #447C2×D79semidirect
1123. #447C2×D79semidirect
1147. #417C2×D79semidirect
1149. C2×#102C2×D79semidirect
1151. #408C2×D79semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#237776812
#237770622
#237757342
#237756692
#237756242
#237756052
#237754772
#237754702
#237754172
#237754102
#237750592
#237750502
#237750312
#237749942
#237749852
#237749552
#237749142
#237748992
#237744902
#237744682
#237742972
#237742842
#237742112
#237742032
#237736552
#237736072
#237726772
#237726572
#237726382
#237724582
C79×#30122
#6165479